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Finding the Third Proportional to 1,889,256,441 and 4,099,648,407.50

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Solution

The third proportional to 1,889,256,441 and 4,099,648,407.50 is: 8,896,154,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889,256,441 : 4,099,648,407.50 = 4,099,648,407.50 : x
  2. Step 2: Convert to fraction form
    1,889,256,441/4,099,648,407.50 = 4,099,648,407.50/x
  3. Step 3: Cross multiply
    1,889,256,441x = 4,099,648,407.50 × 4,099,648,407.50
  4. Step 4: Simplify right side
    1,889,256,441x = 16,807,117,065,117,286,400
  5. Step 5: Solve for x
    x = 16,807,117,065,117,286,400/1,889,256,441
  6. Step 6: Final answer
    x = 8,896,154,434.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.